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Simplifying 8 + 2(3v + -7) = -2(8v + -3) + 8v Reorder the terms: 8 + 2(-7 + 3v) = -2(8v + -3) + 8v 8 + (-7 * 2 + 3v * 2) = -2(8v + -3) + 8v 8 + (-14 + 6v) = -2(8v + -3) + 8v Combine like terms: 8 + -14 = -6 -6 + 6v = -2(8v + -3) + 8v Reorder the terms: -6 + 6v = -2(-3 + 8v) + 8v -6 + 6v = (-3 * -2 + 8v * -2) + 8v -6 + 6v = (6 + -16v) + 8v Combine like terms: -16v + 8v = -8v -6 + 6v = 6 + -8v Solving -6 + 6v = 6 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -6 + 6v + 8v = 6 + -8v + 8v Combine like terms: 6v + 8v = 14v -6 + 14v = 6 + -8v + 8v Combine like terms: -8v + 8v = 0 -6 + 14v = 6 + 0 -6 + 14v = 6 Add '6' to each side of the equation. -6 + 6 + 14v = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 14v = 6 + 6 14v = 6 + 6 Combine like terms: 6 + 6 = 12 14v = 12 Divide each side by '14'. v = 0.8571428571 Simplifying v = 0.8571428571
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